Generalised Kummer constructions and Weil restrictions
Algebraic Geometry
2008-08-25 v2 Number Theory
Abstract
We use a generalised Kummer construction to realise all but one known weight four newforms with complex multiplication and rational Fourier coefficients in smooth Calabi-Yau threefolds defined over the rational numbers. The Calabi-Yau manifolds are smooth models of quotients of the Weil restrictions of elliptic curves with CM of class number three.
Cite
@article{arxiv.0710.4565,
title = {Generalised Kummer constructions and Weil restrictions},
author = {Slawomir Cynk and Matthias Schuett},
journal= {arXiv preprint arXiv:0710.4565},
year = {2008}
}
Comments
12 pages; v2: added references, minor changes